The Uruguayan has been banned from ‘all footballing activities’ as part of his punishment for biting Georgia Chiellini.
This includes club football meaning he can’t play for Liverpool, but Hajvalia are keen to utilise a loophole in the system.
Director Xhavit Pocolli told Kosovan daily Sport Plus: “Suarez can’t play in the next four months. As we are not part of FIFA yet, I think he can play in Kosovo, so we have an offer that we will send to Liverpool.
“We offered €30,000 (£24,000) and a salary of €1,500 (£1,200) for each month. This might sound ridiculous to him, but that is all we can do.
“If he is willing to come and play for us, he is welcome. As we are not part of FIFA, it would be ideal for him.”
Hajvalia have a ground capacity of just 1,000 spectators and finished sixth in their league last season.
Shamed star Suarez has finally made a statement apologising for the collision, although still downplaying the bite incident.
The Uruguayan stated “After several days of being home with my family, I have had the opportunity to regain my calm and reflect about the reality of what occurred during the Uruguay-Italy match on 24 June 2014.
“Independent from the fallout and the contradicting declarations that have surfaced during these past days, all of which have been without the intention of interfering with the good performance of my national team, the truth is that my colleague Giorgio Chiellini suffered the physical result of a bite in the collision he suffered with me. For this:
-I deeply regret what occurred.
-I apologize to Giorgio Chiellini and the entire football family.
-I vow to the public that there will never again be another incident like this”